Least Common Multiple of 331 and 335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 331 and 335 the smallest integer that is 110885 that is divisible by both numbers.

Least Common Multiple (LCM) of 331 and 335 is 110885.

LCM(331,335) = 110885

LCM of 331 and 335

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 331 and 335

LCM of 331 and 335 is 110885

Least common multiple can be found by multiplying the highest exponent prime factors of 331 and 335. First we will calculate the prime factors of 331 and 335.

Prime Factorization of 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

Prime Factorization of 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 331 and 335.

LCM(331,335) = 51×671×3311
LCM(331,335) = 110885

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1, 331

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Least Common Multiple of 331 and 335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 331 and 335, than apply into the LCM equation.

GCF(331,335) = 1
LCM(331,335) = ( 331 × 335) / 1
LCM(331,335) = 110885 / 1
LCM(331,335) = 110885

Properties of LCM 331 and 335

(i) The LCM of 335 and 331 is associative

LCM of 331 and 335 = LCM of 335 and 331

Related Least Common Multiples of 331

Related Least Common Multiples of 335

Frequently Asked Questions on LCM of 331 and 335

1. What is the LCM of 331 and 335?

Answer: LCM of 331 and 335 is 110885.

2. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

3. What are the Factors of 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

4. How to Find the LCM of 331 and 335?

Answer:

Least Common Multiple of 331 and 335 = 110885

Step 1: Find the prime factorization of 331

331 = 331

Step 2: Find the prime factorization of 335

335 = 5 x 67

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 110885 = 5 x 67 x 331

Step 4: Therefore, the least common multiple of 331 and 335 is 110885.